1. A study conducted at a certain college shows that 39% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 9 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating. Assume that the sample is taken with replacement. Express your answer as a percentage rounded to the nearest hundredth without the % sign. 2. Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant / A / B / C / D Order Accurate / 4 / 10 / 12 / 24 Order Not Accurate / 22 / 24 / 3 / 14 If one order is selected, find the probability of getting an order from Restaurant C given the order that is accurate. Express your answer as a percentage rounded to the nearest hundredth without the % sign. 3. In the town of Maplewood a certain type of DVD player is sold at just two stores. 52% of the sales are from store A and the rest of the sales are from store B. 3% of the DVD players sold at store A are defective while 5% of the DVD players sold at store B are defective. If Kate receives one of these DVD players as a gift and finds that it is defective, what is the probability that it came from store A? Express your answer as a percentage rounded to the nearest hundredth without the % sign. 4. A thief steals an ATM card and must randomly guess the correct 5-digit pin code from a 7-key keypad. Repetition of digits is allowed. How many possible pin codes are there? 5. If you know the names of the remaining 3 students in the spelling bee, how many ways are there to order all of those remaining students? 6. There are 8 members on a board of directors. If they must elect 5 titled officers, how many different slates of candidates are possible? 7. A classic counting problem is to determine the number of different ways that the letters of "letter" can be arranged. Find that number. 8. The library is to be given 6 books as a gift. The books will be selected from a list of 20 titles. If each book selected must have a different title, how many possible selections are there? 9. Find the missing value required to make a probability distribution. Round to the nearest hundredth. x / P(x) 0 / 0.11 1 / 0.05 2 / 0.19 3 / 4 / 0.1 10. Find the missing value required to make a probability distribution, then find the mean for the given probability distribution. Round to the nearest hundredth. x / P(x) 0 / 0.01 1 / 0.12 2 / 0.02 3 / 4 / 0.16 11. Find the missing value required to make a probability distribution, then find the standard deviation for the given probability distribution. Round to the nearest hundredth. x / P(x) 0 / 0.07 1 / 2 / 0.14 3 / 0 4 / 0.11 12. A 28-year-old man pays $239 for a one-year life insurance policy with coverage of $14,233. If the probability that he will live through the year is 0.992, what is the expected value for the insurance policy? Round to the nearest cent.